Journal of Failure Analysis and Prevention

, Volume 13, Issue 2, pp 217–226 | Cite as

Experimental Evaluation of Mixed Mode Stress Intensity Factor for Prediction of Crack Growth by Phoelastic Method

Technical Article---Peer-Reviewed

Abstract

Determination of stress intensity factors K I, K II, and constant stress term, σ ox is investigated. A theory of determining the stress intensity factors using photo-elastic method is formulated taking three stress terms. Three-parameter method of fracture analysis for determining the mixed mode stress intensity factors under biaxial loading conditions from photo-elastic isochromatic fringe data is used. A special biaxial test rig is designed and fabricated for loading the specimen biaxially. A simplified and accurate method is proposed to collect the data from isochromatic fringes. Taking specimen geometry and boundary conditions into account, regression models are developed for estimation of fracture parameters.

Keywords

Mixed mode fracture Stress intensity factor Biaxial load Crack angle 

List of Symbols

2a

Crack length

Cn

Experimental constant

\( f_{\sigma } \)

Material fringe value

E

Modulus of elasticity

L

Length of the specimen

W

Width of the specimen

N

Fringe order

t

Specimen thickness

r, θ

Polar coordinates

KI, KII

Mode I and mode II stress intensity factor

β1, k

Biaxial load factor

α

Crack angle

fi (..)

Function

n

Number of stress terms

σ1, σ2

Principal stresses

σx, σy,τxy

Stress components

τm

Maximum shear stress

σ0

Yield strength

υ

Poisson’s ratio

References

  1. 1.
    Post, D.: Photoelastic stress analysis for an edge crack in a tensile field. Proc. SESA 12(1), 99–116 (1954)Google Scholar
  2. 2.
    Wells, A.A., Post, D.: The dynamic stress distribution surrounding a running crack—a photoelastic analysis. Proc. SESA 16(1), 69–92 (1954)Google Scholar
  3. 3.
    Irwin, G.R.: Discussion on photoelastic stress analysis for an edge crack in a tensile field. Proc. SESA 16(1), 93–96 (1958)Google Scholar
  4. 4.
    Bradley, W.B., Kobayashi, A.S.: An investigation of propagating cracks by dynamic photoelasticity. Exp. Mech. 10(3), 106–114 (1970)CrossRefGoogle Scholar
  5. 5.
    Schroedl, M.A., Smith, C.W.: Local stress near deep surface flaws under cylindrical bonding fields, progress in flaw growth and fracture toughness testing. ASTM STP 536 ATM, pp 45–63 (1973)Google Scholar
  6. 6.
    Etheridge, J.M., Dally, J.W.: A critical review of methods for determining stress intensity factors from isochromatic fringes. Exp. Mech. 17(7), 248–254 (1977)CrossRefGoogle Scholar
  7. 7.
    Doyle, J.F., Kamle, S., Takezaki, J.: Error analysis of photoelasticity in fracture mechanics. Exp. Mech. 21, 429–435 (1981)CrossRefGoogle Scholar
  8. 8.
    Sanford, R.J., Dally, J.W.: A general method for determining mixed mode stress intensity factors form isochromatic fringe patterns. Eng. Frac. Mech. 11, 621–633 (1978)CrossRefGoogle Scholar
  9. 9.
    Ioakimidis, N.I., Theocaris, P.S.: On the photoelastic determination of complex stress intensity factors. Eng. Frac. Mech. 12, 463–468 (1979)CrossRefGoogle Scholar
  10. 10.
    Sanford, R.J., Dally, J.W.: A general method for determining mixed mode stress intensity factors. Eng. Frac. Mech. 2, 621–633 (1979)CrossRefGoogle Scholar
  11. 11.
    Smith, D.G., Smith, C.W.: Photoelastic determination of mixed mode stress intensity factors. Eng. Frac. Mech. 4, 357–366 (1972)CrossRefGoogle Scholar
  12. 12.
    Smith, D.G., Smith, C.W.: Photoelastic determination of mixed mode stress intensity factors. Eng. Frac. Mech. 4(2), 357–366 (1972)CrossRefGoogle Scholar
  13. 13.
    Ramesh, K., Ganesan, V.R., Mullick, S.K.: Digital image processing of photoelastic fringes—a new approach. Exp. Tech. 15, 41–46 (1991)CrossRefGoogle Scholar
  14. 14.
    Ramesh, K., Gupta, S., Kelkar, A.A.: Evaluation of stress field parameter in fracture mechanics by photoelasticity. Eng. Frac. Mech. 56(1), 25–45 (1997)CrossRefGoogle Scholar
  15. 15.
    Singh, V.K.: Experimental investigation of mixed mode stress field parameters under biaxial loading condition. M.Tech. Thesis, G.B. Pant University of Ag & Technology, Pantnagar (2002)Google Scholar
  16. 16.
    G.C. Sih, Methods of Analysis and Solution o Crack Problems, Noordhoff Int. Pub. London, 1973, p50-51Google Scholar
  17. 17.
    Misra, A., Singh, V.K.: Experimental analysis of two dimensional photoelastic properties used in fracture mechanics. J. Ind. End. Int. 9, 21–24 (2010)Google Scholar
  18. 18.
    Liebowitz, H., Lee, J.D., Eftis, J.: Biaxial load effects in fracture mechanics. Eng. Fract. Mech. 10, 315–335 (1978)CrossRefGoogle Scholar
  19. 19.
    Haefele, P.N., Lee, J.D.: The constant stress term. Eng. Frac. Mech. 50(5–6), 869–882 (1995)CrossRefGoogle Scholar

Copyright information

© ASM International 2013

Authors and Affiliations

  1. 1.Department of Mechanical Engineering, College of TechnologyG. B. Pant University of Agriculture & TechnologyPantnagarIndia

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